Kourosh
Nourouzi Faculty of Mathematics, Email: nourouzi{at}kntu.ac.ir 

Field
Linear and Nonlinear Functional Analysis
Research Interests Fixed Point Theory, Hilbert modules over
C*algebras, Diversities
Occupations
Dean of the Faculty of Mathematics (20162020)
Member of Scientific Audit Board (Heyatte Momayyazeh) of KNTU (20162018, 2020 2022)
Member of Expert Committee for Basic Sciences, KNTU (20102011, 2016present)
Member of Expert Committee for Nonlinear Analysis, Iranian Mathematical Society (2013present)
Research Deputy, Faculty of Science, KNTU (20122014)
Sabbatical, University of Seville, Spain (2014)
Reviewer of MathScinet (American Mathematical Society), (2014)
Director of IT Center, KNTU (20082011)
Associate Researcher: Institute for Studies in Theoretical Physics and Mathematics (IPM): School of Mathematics, Institute for Research in Fundamental Sciences, Tehran (20062012)
Leader of Mathematical Competitions and Olympiad Team, KNTU (20052009)
Representative of Talented Students and Entrepreneurship, Faculty of Science, KNTU (20042008)
Visiting Researcher, University of Regina, Canada (20002001)
Research Papers
59. Fixed point property of full Hilbert C*modules over unital C*algebras, Fixed Point Theory, (Joint with F. Jahangir) (accepted)
58. Unit vectors in Hilbert C(Z)modules, Operators and Matrices, 16, (2022), no. 2, 349356 (Joint with Z. Hassanpour) (PDF)
57. Diversitynormed spaces and diversity embeddings, Studia Mathematica, 267, (2022), 1935 (Joint with P. Haghmaram and Sh. Golpaigani Fard) (PDF)
56. Banach weak topology on Hilbert C*modules, Operators and Matrices, 15, (2021), no. 4, 13091317 (Joint with M. Golabi) (PDF)
55. A nonlinear Fcontraction form of Sadovskii's fixed point theorem and its application to a functional integral equation of Volterra type, Facta Universitatis' series: Mathematics and Informatics, 36, (2021), no. 2, 321331 (Joint with F. Zahedi and D. O'Regan) (PDF)
54. On Fmetric spaces, Journal of Fixed Point Theory and Applications, 23, (2021), no. 1, Paper no. 2, 14 pp. (Joint with F. Jahangir and P. Haghmaram) (PDF)
53. Morita equivalnce and Cauchy extensions of Hilbert C*modules, Quaestiones Mathematicae, 44, (2021), no. 3, 379397 (Joint with A. Reza) (PDF)
52. Ultradiversification of diversities, Analysis and Geometry in Metric Spaces, 2020; 8: 410417 (Joint with P. Haghmaram) (PDF)
51. Ultradiversities and their spherical completeness, Journal of Applied Analysis, 26, (2020), no. 2, 231240 (Joint with G. H. Mehrabani) (PDF)
50. Some preC*algebras generated by a C*algebra A with completion C([1,1]), A), Iranian Journal of Science and Technology, Transaction A: Science. 44, (2020), 137142 (Joint with A. Reza) (PDF)
49. Convolution type C*algebras, Bull. Iranian Math. Soc. 46, (2020), 777798 (Joint with A. Reza) (PDF)
48. Fixed point property of Hilbert modules over finite dimensional C*algebras, Journal of Fixed Point Theory and Applications. 21, (2019), no. 3, Art. 87, 7 pp. (Joint with M. Golabi) (PDF)
47. Totally bounded subsets and a measure of noncompactness for Schatten class operators, Topology and its Applications. 265 (2019), 106825, 8 pp. (Joint with F. Zahedi and D. O'Regan) (PDF)
46. Functors induced by Cauchy extension of C*algebras, Sahand Commun. Math. Anal., 14, (2019), no. 1, 2753 (Joint with A. Reza) (PDF)
45. A fixed point theorem in uniform spaces generated by a family of bpseudometrics, Fixed Point Theory, 20, (2019), no.1, 177184 (Joint with H. Faraji and D. O'Regan) (PDF)
44. Stationary Points of Setvalued Contractive and Nonexpansive Mappings on Ultrametric Spaces, Fixed Point Theory, 19, (2018), no. 2, 587594 (Joint with M. Hosseini and D. O'Regan) (PDF)
43. A fixed and common fixed points for weakly contractive mappings in bmetric spaces, Sahand Commun. Math. Anal, 7, (2017), no. 1, 4962 (Joint with H. Faraji) (PDF)
42. A generalization of Kannan and Chatterjea fixed point theorems on complete bmetric spaces, Sahand Commun. Math. Anal., 6, (2017), no. 1, 7786 (Joint with H. Faraji) (PDF)
41. Probabilistic Normed Groups, Iranian J. Fuzzy Systems, 14, (2017), no. 1, 99113. (Joint with A.R. Pourmoslemi) (PDF)
40. MazurUlam Problem in Probabilistic Normed Groups, Int. J. Nonlinear Anal. Appl., 8, (2017), no. 2, 327333. (Joint with A.R. Pourmoslemi) (PDF)
39. On Hukuhara's differentiable iteration semigroups of linear setvalued functions, Aequationes Mathematicae. 90, (2016), no. 6, 11291145. (Joint with M. Aghajani) (PDF)
38. Fixed points for Kannan type contractions in uniform spaces with a graph, Nonlinear Analysis: Modelling and Control., 21, (2016), no. 1, 103–113 (Joint with A. Aghanians) (PDF)
37. Vector ultra metric spaces and a fixed point theorem for correspondences, Int. J. Nonlinear Anal. Appl., 7, (2016), no. 1, 147153. (PDF)
36. Coincidence point theorems for E(\psi,\varphi) and E\varphiweak contractions in partially ordered uniform spaces, Journal of Nonlinear and Convex Analysis, 17, (2016), no. 12, 25352549 (Joint with R.P. Agarwal, A. Aghanians, K. Fallahi) (PDF)
35. The role of regularity to reach the vector valued version of Caristi's fixed point theorem, Journal of Nonlinear and Convex Analysis. 16, (2015), no. 5, 937942 (Joint with F. Lael) (PDF)
34. On stationary points of nonexpansive setvalued mappings, Fixed Point Theory and Applications. (2015) 2015:236. (Joint with R. Espinola and M. Hosseini) (PDF)
33. The Continuity of Q+Homogenous Superadditive Correspondences, Journal of Nonlinear and Convex Analysis, 16, (2015), no. 9, 8991904. (Joint with M. Aghajani) (PDF)
32. Fixed points of integral type contractions in uniform spaces, Filomat, 29:7, 2015, 1613–1621. (Joint with A. Aghanians) (PDF)
31. Fixed Points for CiricGContractions in Uniform Spaces Endowed with a Graph, Publications de l'Institut Mathematique. 97, (2015), no. 111, 211–223. (Joint with A. Aghanians, K. Fallahi, R.U. Verma) (PDF)
30. The Continuity of Linear and Sublinear Correspondences Defined on Cones, Bulletin of Iranian Mathematical Society. 41, (2015), no. 1, 4355. (Joint with M. Aghajani, D. O'Regan) (PDF)
29. Fixed points for Banach and Kannan contractions in modular spaces with a graph, Int. J. Nonlinear Anal. Appl., 5, (2014), no. 2, 5060. (Joint with A. Aghanians) (PDF)
28. Some couple coincidence point theorems in partially ordered uniform spaces, Cubo, 16, (2014), no. 2, 115128. (Joint with A. Aghanians, K. Fallahi, D. O'Regan) (PDF)
27. Minimization problem of a variational inequality on a family of setvalued mappings, Politehnica University of Bucharest. Scientific Bulletin. Series A. Applied Mathematics and Physics. 76, (2014), no. 2, 99110 (Joint with M. Eslamian)
26. Two order theoretic proofs for a fixed point theorem in partially ordered metric spaces and its application to trace class operators, Fixed Point Theory, 15, (2014), no. 2, 393398. (Joint with F. Bazazi , D. O'Regan)
25. Fixed points of correspondences in vector valued metric spaces and applications in integral equations, Journal of Nonlinear and Convex Analysis, 15, (2014), no. 6, 11671180 (Joint with R.P. Agarwal, F. Lael, D. O'Regan)
24. An embedding theorem for a class of Convex sets in nonarchimedean normed spaces, Journal of Nonlinear Analysis and Optimization: Theory & Applications, 4, (2013), no. 3, 127130 (Joint with M. Aghajani) (PDF)
23. An entourage approach to the contraction principle in uniform spaces endowed with a graph, Panamer Math. J., 23, (2013), 87102. (Joint with A. Aghanians, K. Fallahi)
22. Fixed points for Easymptotic contractions and BoydWong type Econtractions in uniform Spaces, Bulletin of Iranian Mathematical Society, 39, (2013), no. 6, 12611272. (Joint with A. Aghanians, K. Fallahi) (PDF)
21. Fixed points of Gcontractions on uniforms spaces endowed with a graph, Fixed Point Theory and Applications, 2012, 2012:182. (Joint with A. Aghanians, K. Fallahi) (PDF)
20. Fixed points of mappings defined on probabilistic modular spaces, Bulletin of Mathematical Analysis and Applications, 4, (2012), no. 3, 2328. (Joint with F. Lael) (PDF)
19. On the regular cosine family of linear correspondences, Aequationes Mathematicae , 83, (2012), no. 3, 215221. ( Joint with M. Aghajani) (PDF)
18. Modular locally constant mappings in vector ultrametric spaces, Abstract and Applied Analysis, Vol. 2011 (2011), Article ID 574756, 8 pages, doi: 10.1155/2011/574765 (Joint with K. Fallahi) (PDF).
17. On the fixed points of correspondences in modular spaces, ISRN Geometry, vol. 2011, 2011. doi:10.5402/2011/530254. (Joint with F. Lael) (PDF)
16. Fixed points of correspondences defined on cone metric spaces, Computer and Mathematics with Applications. 60, (2010), no. 3, 653659. (Joint with Z. Izadi). (PDF)
15. A note on the paper “Charactrerizatios on 2Isometries”, Int. J. Open Problems Compt. Math., 2, (2009), no. 4, 572573 (Joint with H. Abbassi).
14. Compact operators defined on 2normed and 2probabilistic normed spaces, Mathematical Problems in Engineering, Volume 2009, Article ID 950234, 17 pages. Doi:10.1155/2009/950234. ( Joint with F. Lael) (PDF)
13. On the convexity of fuzzy nets. Chaos, Solitons & Fractals, 40, (2009), 13561360. (PDF)
12. Operators defined on nmodular spaces, Mediterranean Journal of Mathematics, 6, (2009), 431446. (Joint with S. Shabanian) (PDF)
11. Probabilistic modular spaces and linear operators, Acta Applicanda Mathematicae, 105, (2009), 123140. (Joint with K. Fallahi) (PDF)
10. Probabilistic modular spaces, WSPC Proceedings, December (2008), 814 818.
8. Compact operators between probabilistic normed spaces, Operator Theory: Advances and Applications, 181, (2008), 347354.
7. Some results on IFnormed spaces, Chaos, Solitons & Fractals, 37, (2008), no. 3, 931939. (Joint with F. Lael) (PDF)
6. Convex sets in probabilistic normed spaces, Chaos, Solitons & Fractals, 36, (2008), no. 2, 322328. (Joint with A. Aghajani). (PDF)
5. Convexity in traingular norm of fuzzy sets, Chaos, Solitons & Fractals, 36, (2008), no. 4, 883889. (Joint with A. Aghajani) (PDF)
4.
The Geometry of the Unit Ball of Some Tensor
Product Spaces, Applied Mathematics Letters, 20,
3. Fuzzy compact linear operators, Chaos, Solitons & Fractals. 34 (2007) 15841589.(Joint with F. Lael) (PDF)
2. On the state space of C*algebras, Journal of Mathematical Analysis and Applications. 275, (2002), no. 1, 161164. (PDF)
1. Strongly exposed points in the unit ball of trace class operators, International Journal of Mathematics and Mathematical Sciences. 30, (2002), no. 7, 393397. (PDF)
Book
Metric Spaces (in persian) (Selected as distinguished book of K. N. Toosi university in 2017)
Selected Conferences
Fixed point property in Hilbert C*modules, International Conference on Operators on Banach Algebras and Related Topics, Tarbiat Modares University, Tehran, Iran, Aug. 1617, 2022.
Cauchy extension of Hilbert C*modules. International Congress of Mathematicians (ICM2018), Rio De Janeiro, Brazil, Aug. 19, 2018. (Joint with Ali Reza)
Diversity normed spaces. International Conference on Mathematical Modeling in Applied Sciences. Saint Petersburg, Russia, Jul. 2428, 2017. (Joint with Sh. Golpaiganifard)
Fixed point property for nonexpansive mappings in C*algebras. The 8th International ISAAC Congress, Moscow, Russia, Aug. 22 27 , 2011.
An order theoretic approach to modular fixed point theorems. International Conference on Mathematical Analysis 2010(ICMA 2010), Bangkok, Thiland, December 79, 2010.
Ultrametric fixed point theory. The first workshop in fixed point theory and applications. Amirkabir University, Tehran, Iran, June 910 (2010).
Baire’s Theorem in probabilisticc modular spaces. The world congress on engineering and applied mathematics. Imperial College, London, U.K., July 24, 2008.
The probabilistic modular spaces. 6^{th} ISAAC Congress.
Middle East Technical University, Ankara, Turkey. August 1318, 2007.
Barcelona Analysis Conference. University of Barcelona, Barcelona, Spain. September 48, 2006.
Compact operators in probabilistic normed spaces. Operator Algebras, Operator Theory and Applications. Instituto Superior Tecnico, Universidade Tecnica de Lisboa, Lisbon, Portugal. September 15, 2006..
Exposed points in the set of completely positive maps. . Bordeaux, France. July 313, 2005..
On the completely positive maps. 35th Annual Iranian Mathematics Conference. Ahvaz. January 26 29, 2005.
Exposed points and completely positive maps. Third Seminar on Linear Algebra and its Applications. Kerman. December 2829, 2004.
The geometric properties in the set of completely positive maps. International Conference in Analysis and its Applications. Nanjing University, China. July 2024, 2004.
On the geometric properties of completely positive maps. 4th European Congress of Mathematics. Stockholm, Sweden. June 27July 2, 2004.
The geometry of some tensor product spaces. Canadian Operator Algebra Symposium. University of New Brunswick, Canada. May 2124, 2003.
Extreme and exposed points in the unit balls.
Graduate Students
MSc:
F. Lael, (Sep.2006) S. Vaezzadeh, (Sep. 2007)
K. Fallahi, (Nov. 2007) S. Jahani, (Feb. 2008) S. Shabanian, (Oct. 2008) B. Hedayatfar, (Nov. 2008) H. Adman, (Mar. 2009) H. Abbasi, (Feb. 2009) N. Rezabandehloo, (Sep. 2009) E. Jafari, (Oct. 2009) Z. Izadi, (Oct. 2009) A. Aghanians, (Sep. 2010) R. Mokhtar, (Feb. 2011) I. Mehrabinejad, (Mar. 2011) M. M. Khatibi, (Feb.2011)

M. Manavi, (Nov. 2011) S. Abdoli, (Jan. 2012) N. Ashghaei, (Jan. 2012) K. Shamsolkottabi (Feb. 2012) F. Ghasemi, (Feb. 2013) M. Dinarvand, (Sep. 2012) A. Broumandnia, (Sep. 2012) M. Hosseini, (Sep. 2013) N. Salehabadi, (Oct. 2013) M. Taghavi, (Sep. 2014) M. Ramzi Iraqi, (Sep. 2014) S. Alian, (Dec. 2014) P. Bigdeli, (May, 2015) E. Rostami, (Dec. 2015) M. Alimohammadi, (Dec. 2015)

L. Michani, (Jan. 2016) M. Farahi, (May, 2016) N. Ahmadi, (Oct. 2016) F. Aloustani, (Feb. 2017) Sh. Golpaiganifard, (Sep. 2017) H. Chalak, (Sep. 2017) S. Pourya (Feb. 2019) M. Ghaffari (Feb. 2019) Z. Lak (Joint supervised with Dr. Masiha) (Sep., 2019) M. Servati (Joint supervised with Dr. Hosseini) (Sep., 2019)

PhD: M. Aghajani, (Aug. 2012) F. Lael, (Oct. 2012) K. Fallahi, (Feb. 2013) A. Aghanians, (Sep. 2014) A.R. Pourmoslemi, (Sep., 2016) H. Faraji, (Sep., 2017) A. Reza, (Sep. 2019) F. Jahangir (Mar., 2022) P. Haghmaram (in progress)


Postdoctoral Researchers
S. Sami (2019) (KNTU)
Z. Hasanpour (2020 2021) (INSF)
Teaching Schedule
Semester I, 20222023
Basics of Mathematical Analysis (BSc), Sunday and Monday mornings (9:3011:00)
Real Analysis (MSc), Sunday and Monday mornings (11:0012:30)
Semester II, 20212022
Operator Theory (MScPhD), Sunday and Monday mornings (9:0010:30) (Online)
Elementary Mathematical Analysis (BSc), Sunday and Monday mornings (10:3012:00) (Online)
Courses Taught
Topology, Analysis I, II, III, Calculus I, II,
Ordinary Differential Equations, Real Analysis, Complex Analysis, Functional
Analysis(I,II), Operator Theory(I, II),
C*Algebras (I, II), Applied Functional Analysis, Banach Algebras, Fixed point theory.